Final answer:
The question asks to find the measure of x without providing additional context, making it impossible to determine accurately among the options given.
Step-by-step explanation:
The question asks to find the measure of x given four angles: 103°, 360°, 105°, and 117°. To solve this, we need to understand that the measure of an angle is a geometric property indicating the figure's rotation magnitude, where 360° symbolizes a full rotation. Given the options, it's clear that these angles are distinct measurements without a relationship presented between them, and thus the answer could be any of them depending on what x is intended to represent. However, considering the context that a circle consists of 360 degrees, and it's common knowledge that the measure of an angle cannot exceed a full rotation, the 360° option stands out as representing a complete circle or rotation, which suggests that it might not be the angle to measure a particular position but the full circle itself.
Without additional information or a clearer understanding of the specific role x is meant to play in this scenario (such as being part of an equation or being an element of a figure that requires calculation), we cannot determine the correct measure of x. Each of the listed angles is a valid angle measurement on its own, and without context, we cannot ascertain which one represents the measure of x.